Given the matrix 5 7 Find the Characteristic Equation and find its solutions (aka: eigenvalues). AR = 8 + 6 B)R = 0 + i © R = - 3 + 4i DR = 2 + /72 ER = 8 + 2i

Q: Which integral would represent the area shown below? The function is f(x) = -x³ + 3. %3D 3 2- 1- 0.5...

A: Given query is to find the area of the shaded region.

Q: Evaluate the indefinite integral sin (2)cos (2)da = 3

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Q: Find the value of f' () if f(x) = 2csc3x. 15 Your answer

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Q: Using an appropriate substitution, (cos-1(x)) e the integral f dx equals: V1-x2

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Q: find eigen value of matrix A -2 %3D -4 2. 2.

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Q: 2η +2 (a) (-1)"+1. Vn3 + n2 + n n=1

A: This is a problem related to series and sum calculation. Based on the available method we will calcu...

Q: Consider the parallelepiped with adjacent edges u = 7i + 3j + k v = i+j+ 7k w = i+ 5j + 7k Find the ...

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Q: 5. f(x) = S2e* + 1 if x # 0 0 if x = 0 at x = 0

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Q: 34x + 16 f(z) g(z) The partial fraction decomposition of 8x2 can be written in the form of - 14x + 3...

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Q: Evaluate the integral, if it exists: +z sinx dx z-

A: We will evaluate the integral if it exists in the following step.

Q: https://www.webassign.net/cgi-perl/symimage.cgi?expr=n%20%3D%20f%28t%29%20%3D%20a%2F%281%2Bbe%5E%28-...

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Q: Evaluate the definite integrals (give exact answers): 3 a) | (2x +3)(x – 5)dx 2 1 - (2³ – 2x² + 1)dx...

A: a) ∫23(2x+3)(x-5)dx ∫23(2x2 -10x +3x -15)dx ∫23 2x2 -7x -15)dx [2x3/3 -7x2/2 -15x ]23 18 - 63/2 -45 ...

Q: 36x2 + 25 dx x2

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Q: Set up an integral that represents the length of the curve. = sin²(t), y = 1 –- 3 sin(t), 0 <t < T !...

A: The given problem is solved below.

Q: why should y>0 ?

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Q: 15. Find the surface area generated by revolving about the y-axis that part of the curve y = In x ly...

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Q: 14 If f(x) : t? dt then f'(x) =

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Q: Srk to justiry a STAE Find the equation of the tangent plane to f(x, y) = In(/x² + y²) at the point ...

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Q: find the approyimate Valueof 10/3 2- |(3.01*+(5-98)²+(2.03)?

A: According to guideline I'm solving only Question no. 2 

Q: A pharmaceutical company is testing a new drug. After a person takes Ao mg of the drug, the amount o...

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Q: By completing the square, dx the integral f equals: 2x2+8x+10 tan¬1(x + 2) + C tan-1(x – 2) + C | th...

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Q: Find the area of the region bounded by the given curves. Decide whether to integrate with respect to...

A: Given query is to find the are of the region bounded by the curve.

Q: The solution of the given equation (1+x²) y' + 2xy = 4x² is: O y=[(4x^3)/(3(1+x^2))]+C(1+x^2) O y=[(...

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Q: 34x + 16 f(z) g(z) The partial fraction decomposition of can be written in the form of 8x2 - 14x + 3...

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Q: Use A = P(1+ where: n A = the amortized amount (total loan/investment amount over the life of the lo...

A: Given query is to find the amount to get double.

Q: Given that y, (x) = x-1 and y, (x) = x3/2 are solutions of the differential equation 2x2y" + xy'-3y ...

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Q: Consider the points A(1, –3, 4), B(2, –5, 2), C'(-1, –4, 2), and D(2,3, –5). (a) Find the volume of ...

A: Explained below

Q: Determine all critical points for the function. f(x) = x2 + 6x + 9 %3D

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Q: Determine from the graph whether the function has any absolute extreme values on the interval [a, b]...

A: Topic:- calculus

Q: Using an appropriate substitution, e*sec²(e*) the integral S dx equals: e-tan(eX) - In|e – tan(e*)|I...

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Q: dy dr 2° y0- 13 is Find using implicit differentiation, for the equation - O O O O

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Q: 102 - Find the volume of the solid obtained by rotating about the y-axis the region bounded by y = a...

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Q: for power substitution method, next step is * 2+E dz 6 – 5(u²)2 + u² , -(2udu) 4 – u² r6 – 5u² + u² ...

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Q: Which integral would represent the area shown below? The function is f(x) = 2x + 2. 8 6 4- 2- 0.5 1 ...

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Q: A potato is launched vertically upward with an initial velocity of 121 ft/s from a potato gun at the...

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Q: Find the vector component of v = 2i –j+3k along b = 6i + 6j + 7k and the vector component of v ortho...

A: Given,           v=2i-j+3k , b=6i+6j+7kTo find : i The vector component of v along b.               ...

Q: In exercises 1-23 solve the given differential equations: dy 1. = sin 5x %3D dx 2. etdy dx = 2x dy 3...

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Q: Using Reciprocal Substitution dz For f zV4z+z

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Q: dy Find using implicit differentiation, for the equation a + = 11 is. da

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Q: A potato is launched vertically upward with an initial velocity of 139 ft/s from a potato gun at the...

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Q: Rewrite the following integral using substitution: " s in3xdx

A: We can rewrite the integral using substitution as below.

Q: Find the volume of the solid that results when the region enclosed by the given curves is revolved a...

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Q: If f(x) = f (x) „sin(x) e Then f'(0) = ?

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Q: Use linear approximation to estimate the following quantity. Choose a value of a to produce a small ...

A: This question can be solved by applying the formula of linear approximation.

Q: Evaluate the integral if it converges and enter the exact value. If the integral diverges, indicate ...

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Q: 1. Use the 8 step algorithm for c following function and to sketch 2 x +2x-4 d(x) %3D 2. Step 1: Res...

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Q: 3. sin x cos y dx + cos x sin y dy

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Q: Q2. This question asks to find the arc length of a function (see Lecture 11). (i) Let f(z) = z + 4. ...

A: Given

Q: 1. Below is the graph of f(x) = |x]. Using the right side of the function with the equation y =x, co...

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Q: Find the volume of the solid obtained by rotating about the y-axis the region bounded by y = 10x² an...

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